0.5x+3.5=6x-24

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Solution for 0.5x+3.5=6x-24 equation: 


Simplifying
0.5x + 3.5 = 6x + -24

Reorder the terms:
3.5 + 0.5x = 6x + -24

Reorder the terms:
3.5 + 0.5x = -24 + 6x

Solving
3.5 + 0.5x = -24 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
3.5 + 0.5x + -6x = -24 + 6x + -6x

Combine like terms: 0.5x + -6x = -5.5x
3.5 + -5.5x = -24 + 6x + -6x

Combine like terms: 6x + -6x = 0
3.5 + -5.5x = -24 + 0
3.5 + -5.5x = -24

Add '-3.5' to each side of the equation.
3.5 + -3.5 + -5.5x = -24 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -5.5x = -24 + -3.5
-5.5x = -24 + -3.5

Combine like terms: -24 + -3.5 = -27.5
-5.5x = -27.5

Divide each side by '-5.5'.
x = 5

Simplifying
x = 5

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